Find X in the Following When: Log 3 243 = X - Mathematics

Find x in the following when: log ₃ 243 = x

बेरीज

log ₃ 243 = x
⇒ 243 = 3^x
⇒ 3⁵ = 3^x
∴ x = 5.

shaalaa.com

Interchanging Logarithmic and Exponential Forms - Logarithmic to Exponential

या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?

पाठ 10: Logarithms - Exercise 10.1

पाठ 10 Logarithms
Exercise 10.1 | Q 3.08

Express the following in the exponential form:
q = log_a p

Express the following in the exponential form:
-2 = log₂ 0.25

Find x in the following when: log ₈ x = `(2)/(3)`

Find x in the following when: log ₁₀ 0.0001 = x

Find the value of: log ₁₀ 1000

Find the value of: `"log" _(1/5) 125` = x

Find the value of: `"log_sqrt(3) (3sqrt(3))`

If log ₁₀ m = n, express the following in terms of m: 10 ²ⁿ⁺¹

If Iog ₁₀a = x, log₁₀ b = y and log ₁₀ c = z, find
10^{3y -1} in terms of b

State true or false in the following:
If log ₁₀ 100 = 2, then 10² = 100